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On an invariant of the algebra $$W_ n$$. (English. Russian original) Zbl 0744.17006
Sov. Math. 35, No. 10, 36-38 (1991); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 10(353), 40-42 (1991).
The author gives a construction of central elements in the universal enveloping algebra $$U(W_ n)$$ and gives some information about the central elements in the restricted universal involving algebra where $$W_ n$$ consists of the derivations $$f\partial_ i$$, $$f\in k[x_ 1,\ldots,x_ n]/I$$, $$k$$ is a field of characteristic $$p>0$$ and $$I$$ is the ideal which is generated by the polynomials $$(x_ i^ p-1)$$, $$i=1,\ldots,n$$.
##### MSC:
 17B35 Universal enveloping (super)algebras 17B50 Modular Lie (super)algebras